SOLUTION: Construct a truth table for the statement: ~(~pV~q). I do not understand how to do this. Can someone please help!

Algebra ->  Conjunction -> SOLUTION: Construct a truth table for the statement: ~(~pV~q). I do not understand how to do this. Can someone please help!      Log On


   

Question 525859: Construct a truth table for the statement: ~(~pV~q). I do not understand how to do this. Can someone please help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
pq~p~q~p V ~q~(~p V ~q)
TTFFFT
TFFTTF
FTTFTF
FFTTTF



Notes:

1) ~p is the opposite of p. So if p is true, then ~p is false (and vice versa). Also, if p is false, then ~p is true. This applies to q and ~q as well.

2) p v q is only false when both p and q are false.